Modules which have a rad-supplement that is a direct summand in every extension

dc.contributor.author	Türkmen, B.N.
dc.date.accessioned	2019-12-10T07:53:40Z
dc.date.available	2019-12-10T07:53:40Z
dc.date.issued	2018
dc.identifier.uri	http://hdl.handle.net/123456789/4473
dc.description	Türkmen B. N. Modules which have a rad-supplement that is a direct summand in every extension / B. N. Türkmen , E.Türkmen // Algebra and Discrete Mathematics. - 2018. - Vol. 25. - Number 1. - Рp. 157-164	uk_UA
dc.description.abstract	In this paper, we introduce the concept of mod- ules with the properties (RE) and (SRE), and we provide various properties of these modules. In particular, we prove that a semisimple module M is Rad-supplementing if and only if M has the property (SRE). Moreover, we show that a ring R is a left V-ring if and only if every left R-module with the property (RE) is injective. Finally, we characterize the rings whose modules have the properties (RE) and (SRE).	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	ДЗ "ЛНУ імені Тараса Шевченка"	uk_UA
dc.relation.ispartofseries	Математичні науки;
dc.subject	Rad-supplement	uk_UA
dc.subject	module with the properties (RE) and (SRE)	uk_UA
dc.subject	artinian serial ring	uk_UA
dc.title	Modules which have a rad-supplement that is a direct summand in every extension	uk_UA
dc.type	Article	uk_UA